Question

The first row in the table shows a recipe for 1 batch of trail mix. Complete the remaining rows with recipes for 2,3, and 4 batches of the same type of trail mix. \begin{tabular}{|c|c|c|c|} \hline number of batches & cups of cereal & cups of almonds & cups of raisins \\ \hline 1 & 2 & $\frac{1}{3}$ & $\frac{1}{4}$ \\ \hline 2 & & & \\ \hline 3 & & & \\ \hline 4 & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

Name: Problem 6, Chapter 4: Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition
Uploaded: 2021-12-09T22:45:30-08:00
Duration: 1 min 38 s
Channel: Erika Bustos
Description: The first row in the table shows a recipe for 1 batch of trail mix. Complete the remaining rows with recipes for 2,3, and 4 batches of the same type of trail mix. number of batches cups of cereal cups of almonds cups of raisins 1 2 (1)/(3) (1)/(4) 2 3 4

    The first row in the table shows a recipe for 1 batch of trail mix. Complete the remaining rows with recipes for 2,3, and 4 batches of the same type of trail mix.
\begin{tabular}{|c|c|c|c|}
\hline number of batches & cups of cereal & cups of almonds & cups of raisins \\
\hline 1 & 2 & $\frac{1}{3}$ & $\frac{1}{4}$ \\
\hline 2 & & & \\
\hline 3 & & & \\
\hline 4 & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline & & & \\
\hline
\end{tabular}

Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 6th Edition

Chapter 4, Problem 6

Instant Answer

Solved by Expert Erika Bustos

12/09/2021

Step 1

This means that if we double the number of batches, we double the quantity of each ingredient. If we triple the number of batches, we triple the quantity of each ingredient, and so on. Show more…

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The first row in the table shows a recipe for 1 batch of trail mix. Complete the remaining rows with recipes for 2,3, and 4 batches of the same type of trail mix. \begin{tabular}{|c|c|c|c|} \hline number of batches & cups of cereal & cups of almonds & cups of raisins \\ \hline 1 & 2 & $\frac{1}{3}$ & $\frac{1}{4}$ \\ \hline 2 & & & \\ \hline 3 & & & \\ \hline 4 & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

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Key Concepts

Multiplication of Fractions

This concept is key when dealing with recipe quantities given in fractions. It involves multiplying a fraction by an integer to calculate the total amount needed for multiple batches, ensuring that fractional measurements are properly scaled up.

Proportional Reasoning

This involves understanding that the relationship between the quantities remains constant regardless of how many batches or units are being produced. It ensures that as the size of the recipe changes, each ingredient is scaled up or down in direct proportion to maintain the recipe's integrity.

Scaling Recipes

Scaling recipes is the process of multiplying the quantities of each ingredient by the number of desired batches to adjust the recipe size accordingly. This method is used to accurately increase or decrease the recipe quantities while preserving the original ratios between ingredients.

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